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本文介绍以广义奈奎斯特-波特法和广义根轨迹法为主的复变量理论。通过对复变量矩阵函数零极点的几何论述,确立起反馈系统设计中的状态空间和频率响应方法之间的基本关系。简略叙述了特征频率在有反馈情况下的渐近特性和代数函数在稳定性分析中的用途。给出了一个多变量反馈系统设计中的实例。
In this paper, the generalized Nyquist - Porter method and the generalized root locus method based complex variable theory. Through the geometrical exposition of zero pole of complex variable matrix function, the basic relationship between state space and frequency response method in feedback system design is established. Briefly describe the asymptotic behavior of eigenfrequency with feedback and the use of algebraic functions in stability analysis. An example of multivariable feedback system design is given.